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MIT OpenCourseWareMIT 18.085 Computational Science and Engineering I, Fall 2008 (2008)

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This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.

License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms



This movie is part of the collection: MIT OpenCourseWare

Producer: MIT OpenCourseWare
Audio/Visual: sound, color
Language: English
Keywords: linear algebra, networks, Lagrange multipliers, differential equations of equilibrium, Laplace's equation, potential flow, boundary-value problems, Fourier series, discrete Fourier transform, convolution

Creative Commons license: Attribution-Noncommercial-Share Alike 3.0


Individual Files

Movie Files Thumbnail Animated GIF MPEG4 Ogg Video
Course Introduction 7.8 KB 
139.7 KB 
9.1 MB 
17.8 MB 
Lecture 01: Four special matrices 5.7 KB 
426.0 KB 
117.7 MB 
227.2 MB 
Lecture 02: Key ideas of linear algebra 5.7 KB 
423.8 KB 
113.6 MB 
220.5 MB 
Lecture 03: Solving a linear system 4.8 KB 
401.0 KB 
118.9 MB 
227.8 MB 
Lecture 04: Delta function day! 6.7 KB 
423.8 KB 
121.2 MB 
230.9 MB 
Lecture 05: Eigenvalues (part 1) 6.5 KB 
418.5 KB 
121.7 MB 
234.4 MB 
Lecture 06: Eigen values (part 2); positive definite (part 1) 4.3 KB 
420.3 KB 
109.1 MB 
208.4 MB 
Lecture 07: Positive definite day! 5.4 KB 
426.9 KB 
114.6 MB 
219.7 MB 
Lecture 08: Springs and masses; the main framework 4.3 KB 
430.6 KB 
119.6 MB 
231.0 MB 
Lecture 09: Oscillation 5.3 KB 
437.6 KB 
115.6 MB 
225.3 MB 
Lecture 10: Finite differences in time; least squares (part 1) 6.1 KB 
425.7 KB 
119.2 MB 
230.5 MB 
Lecture 11: Least squares (part 2) 5.7 KB 
427.6 KB 
117.2 MB 
221.1 MB 
Lecture 12: Graphs and networks 5.4 KB 
430.8 KB 
109.3 MB 
211.4 MB 
Lecture 13: Kirchhoff's Current Law 6.6 KB 
448.7 KB 
119.3 MB 
229.7 MB 
Lecture 14: Exam Review 5.4 KB 
414.3 KB 
113.6 MB 
220.1 MB 
Lecture 15: Trusses and A^(T)CA 6.5 KB 
427.7 KB 
101.6 MB 
197.6 MB 
Lecture 16: Trusses (part 2) 5.9 KB 
421.1 KB 
105.4 MB 
202.8 MB 
Lecture 17: Finite elements in 1D (part 1) 5.9 KB 
429.7 KB 
118.1 MB 
226.4 MB 
Lecture 18: Finite elements in 1D (part 2) 4.8 KB 
427.3 KB 
111.9 MB 
215.9 MB 
Lecture 19: Quadratic/cubic elements 5.8 KB 
417.4 KB 
114.1 MB 
217.1 MB 
Lecture 20: Element matrices; 4th order bending equations 6.0 KB 
425.5 KB 
109.0 MB 
209.4 MB 
Lecture 21: Boundary conditions, splines, gradient and divergence (part 1) 6.2 KB 
430.9 KB 
116.0 MB 
223.8 MB 
Lecture 22: Gradient and divergence (part 2) 5.0 KB 
426.6 KB 
111.8 MB 
215.1 MB 
Lecture 23: Laplace's equation (part 1) 6.8 KB 
441.2 KB 
108.0 MB 
208.6 MB 
Lecture 24: Laplace's equation (part 2) 6.3 KB 
431.9 KB 
117.6 MB 
224.9 MB 
Lecture 25: Fast Poisson solver (part 1) 6.0 KB 
425.3 KB 
113.6 MB 
218.7 MB 
Lecture 26: Fast Poisson solver (part 2); finite elements in 2D (part 1) 5.9 KB 
429.3 KB 
111.5 MB 
215.3 MB 
Lecture 27: Finite elements in 2D (part 2) 6.7 KB 
418.3 KB 
114.2 MB 
218.8 MB 
Lecture 28: Fourier series (part 1) 5.8 KB 
424.5 KB 
107.1 MB 
202.2 MB 
Lecture 29: Fourier series (part 2) 5.5 KB 
426.6 KB 
105.6 MB 
203.2 MB 
Lecture 30: Discrete Fourier series 6.4 KB 
424.7 KB 
109.2 MB 
203.7 MB 
Lecture 31: Examples of discrete Fourier transform; fast Fourier transform; convolution (part 1) 6.0 KB 
435.6 KB 
112.3 MB 
215.7 MB 
Lecture 32: Convolution (part 2); filtering 5.7 KB 
424.8 KB 
113.1 MB 
217.8 MB 
Lecture 33: Filters; Fourier integral transform (part 1) 6.4 KB 
426.5 KB 
111.3 MB 
215.8 MB 
Lecture 34: Fourier integral transform (part 2) 5.7 KB 
426.4 KB 
111.5 MB 
215.1 MB 
Lecture 35: Convolution equations: deconvolution; convolution in 2D 6.2 KB 
428.3 KB 
111.7 MB 
214.4 MB 
Lecture 36: Sampling Theorem 6.2 KB 
419.8 KB 
89.1 MB 
168.8 MB 
Recitation 01 5.9 KB 
407.1 KB 
107.6 MB 
206.8 MB 
Recitation 02 5.2 KB 
400.5 KB 
111.4 MB 
214.7 MB 
Recitation 03 5.8 KB 
423.0 KB 
121.7 MB 
234.5 MB 
Recitation 04 5.1 KB 
417.4 KB 
122.0 MB 
236.2 MB 
Recitation 05 6.5 KB 
435.5 KB 
119.2 MB 
230.8 MB 
Recitation 06 5.6 KB 
409.1 KB 
118.0 MB 
224.9 MB 
Recitation 07 6.0 KB 
430.1 KB 
116.9 MB 
223.2 MB 
Recitation 08 6.2 KB 
431.9 KB 
104.3 MB 
201.4 MB 
Recitation 09 6.5 KB 
432.1 KB 
112.0 MB 
211.9 MB 
Recitation 10 5.6 KB 
428.7 KB 
98.8 MB 
190.2 MB 
Recitation 11 5.9 KB 
426.5 KB 
117.6 MB 
226.1 MB 
Recitation 12 5.5 KB 
427.6 KB 
111.2 MB 
214.4 MB 
Recitation 13 6.7 KB 
429.8 KB 
109.9 MB 
210.7 MB 
Information FormatSize
MIT18.085F08_files.xml Metadata [file] 
MIT18.085F08_meta.xml Metadata 1.5 KB 
MIT18.085F08_reviews.xml Metadata 173.0 B 

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